期刊
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
卷 -, 期 12, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2019/12/026
关键词
cosmological perturbation theory; dark matter theory; modified gravity
资金
- NSFC [11847239, 11961131007, 11421303, 11653002, 11422543]
- CAS Key Laboratory for Research in Galaxies and Cosmology, Chinese Academy of Science [18010203]
We revisit the two-field mimetic gravity model with shift symmetries recently proposed in the literature, especially the problems of degrees of freedom and stabilities. We first study the model at the linear cosmological perturbation level by quadratic Lagrangian and Hamiltonian formulations. We show that there are actually two (instead of one) scalar degrees of freedom in this model in addition to two tensor modes. We then push on the study to the full non-linear level in terms of the Hamiltonian analysis, and confirm our result from the linear perturbation theory. We also consider the case where the kinetic terms of the two mimetic scalar fields have opposite signs in the constraint equation. We point out that in this case the model always suffers from the ghost instability problem.
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